LCM of 834, 806, 910, 949, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 806, 910, 949, 831 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 834, 806, 910, 949, 831. So, keep reading to learn more.
Given numbers are 834,806,910,949,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,806,910,949,831 is 237871148970.
Find LCM of 834,806,910,949,831 with Prime Factorization
| 2 | 834, 806, 910, 949, 831 |
| 3 | 417, 403, 455, 949, 831 |
| 13 | 139, 403, 455, 949, 277 |
| 139, 31, 35, 73, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 139 x 31 x 35 x 73 x 277 = 237871148970
Therefore, the lowest common multiple of 834,806,910,949,831 is 237871148970.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
834 x 806 x 910 x 949 x 831 = 482402690111160
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
834 : 1, 2, 3, 6, 139, 278, 417, 834
806 : 1, 2, 13, 26, 31, 62, 403, 806
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
949 : 1, 13, 73, 949
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,806,910,949,831, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
806:2x 13x 31
910:2x 5x 7x 13
949:13x 73
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 13x 13 = 2028
Therefore, the value for common factors is 2028.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 482402690111160/(1x2028)
LCM = 482402690111160/2028
LCM = 237871148970
Thus, we can understand that the LCM of 834,806,910,949,831 is 237871148970.
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FAQs on LCM of 834, 806, 910, 949, 831
1. What is the LCM of 834, 806, 910, 949, 831?
Answer: LCM of 834, 806, 910, 949, 831 is 237871148970.
2. How to calculate the LCM of 834, 806, 910, 949, 831?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 834, 806, 910, 949, 831.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.